Lori creates the following design for a T-shirt.
A right-angled triangle with a base length of 11.7 inches consists of 2 rectangles one triangle in height of 2,8 inches and a triangle of 2.4 inches height on top of the rectangles.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is _square inches.
The area of Triangle 2 is _square inches.
The area of the whole figure is _square inches.
To find the area of Rectangle 2, we first need to find the base length of Rectangle 1. From the given information, we know that the height of Rectangle 1 is 2.8 inches and its area is 8.68 square inches.
Area of Rectangle 1 = base length * height
8.68 square inches = base length * 2.8 inches
base length = 8.68 / 2.8 = 3.1 inches
Now, Rectangle 2 has the same base length as Rectangle 1, which is 3.1 inches. The height of Rectangle 2 is the same as the height of Triangle 1, which is 2.8 inches.
Area of Rectangle 2 = base length * height
Area of Rectangle 2 = 3.1 inches * 2.8 inches
Area of Rectangle 2 = 8.68 square inches
Next, to find the area of Triangle 2, we can use the area of Triangle 1. The area of Triangle 1 is given as 6.48 square inches. Since Triangle 2 is above Rectangle 2 and has the same base length, it has the same area as Triangle 1.
Area of Triangle 2 = 6.48 square inches
Finally, to find the area of the whole figure, we add the areas of Rectangle 1, Rectangle 2, Triangle 1, and Triangle 2.
Area of the whole figure = 8.68 + 8.68 + 6.48 + 6.48
Area of the whole figure = 30.32 square inches
Therefore, the area of Rectangle 2 is 8.68 square inches, the area of Triangle 2 is 6.48 square inches, and the area of the whole figure is 30.32 square inches.